Turning Points in Random Permutations

The mean and variance of the number of turning points in random permutations are evaluated. These results are applied to a test of randomness of fluctuations. © 2017 Wiley. All rights reserved

Algorithms for Computing the Regression Coefficients: Recommendations

We present a survey of possible algorithms and their rounding off trancation, arithmetic error bounds. Experimental results confirm these errors and illustrate the dangers of some algorithms because of errors in the means. Specific recommendations are made as to which algorithms should be used.